9900edo - Revision history

ArrowHead294 at 12:48, 21 February 2025

2025-02-21T12:48:06Z

← Older revision		Revision as of 12:48, 21 February 2025
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{harmonics in equal\|9900}}		{{harmonics in equal\|9900}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	9900edo has subset edos {{EDOs\|1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950}}. Its abundancy index is around 2.42.		9900edo has subset edos {{EDOs\|1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950}}. Its abundancy index is around 2.42.

Francium: changed EDO intro to ED intro

2025-02-21T06:01:29Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:01, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|9900~~}}		{{ED intro}}

	9900edo is consistent in the 9-odd-limit and it is otherwise a good 2.3.5.7.17.29 subgroup system.		9900edo is consistent in the 9-odd-limit and it is otherwise a good 2.3.5.7.17.29 subgroup system.

Eliora: Created page with "{{Infobox ET}} {{EDO intro|9900}} 9900edo is consistent in the 9-odd-limit and it is otherwise a good 2.3.5.7.17.29 subgroup system. In the 7-limit, it is a septiruthenia..."

2023-08-15T20:45:43Z

Created page with "{{Infobox ET}} {{EDO intro|9900}} 9900edo is consistent in the 9-odd-limit and it is otherwise a good 2.3.5.7.17.29 subgroup system. In the 7-limit, it is a septiruthenia..."

New page

{{Infobox ET}}
{{EDO intro|9900}}

9900edo is consistent in the 9-odd-limit and it is otherwise a good 2.3.5.7.17.29 subgroup system.

In the 7-limit, it is a [[septiruthenia]]n system, setting 64/63 to 1\44, so that the septimal comma is 225 purdals. It is a member of the [[optimal ET sequence]] for the [[ruthenium]] temperament with an additional prescribed mapping for 5 in the 13-limit.

=== Prime harmonics ===
{{harmonics in equal|9900}}
=== Subsets and supersets ===
9900edo has subset edos {{EDOs|1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950}}. Its abundancy index is around 2.42.

As an interval size measure, one step of 9900edo is known as the '''purdal'''.
[[Category:Purdal]]